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Two Dimensional Compressible Fluid-Structure Interaction Model Using DGFEM

In: Numerical Mathematics and Advanced Applications 2011

Author

Listed:
  • J. Hasnedlová-Prokopová

    (Charles University, Department of Numerical Mathematics, Faculty of Mathematics and Physics)

  • M. Feistauer

    (Charles University, Department of Numerical Mathematics, Faculty of Mathematics and Physics)

  • A. Kosík

    (Charles University, Department of Numerical Mathematics, Faculty of Mathematics and Physics)

  • V. Kučera

    (Charles University, Department of Numerical Mathematics, Faculty of Mathematics and Physics)

Abstract

The subject of this paper is the numerical solution of the interaction of compressible flow and an elastic body with a special emphasis on the simulation of vibrations of vocal folds during phonation onset. The time-dependence of the domain occupied by the fluid is treated by the ALE (Arbitrary Lagrangian-Eulerian) method and the compressible Navier-Stokes equations are written in the ALE form. The deformation of the elastic body, caused by the aeroelastic forces, is described by the linear dynamical elasticity equations. Both these systems are coupled by transmission conditions. For the space-discretization of the flow problem the discontinuous Galerkin finite element method (DGFEM) is used. The time-discretization is realized by the backward difference formula (BDF). The structural problem is discretized by the conforming finite element method and the Newmark method. The results of the use of two different couplings and their comparison are presented.

Suggested Citation

  • J. Hasnedlová-Prokopová & M. Feistauer & A. Kosík & V. Kučera, 2013. "Two Dimensional Compressible Fluid-Structure Interaction Model Using DGFEM," Springer Books, in: Andrea Cangiani & Ruslan L. Davidchack & Emmanuil Georgoulis & Alexander N. Gorban & Jeremy Levesley (ed.), Numerical Mathematics and Advanced Applications 2011, edition 127, pages 361-368, Springer.
    • Handle: RePEc:spr:sprchp:978-3-642-33134-3_39
    DOI: 10.1007/978-3-642-33134-3_39
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